SSC CGL 26 Oct 2014 Shift 2 Paper

Question : 138 of 200

Marks: +1, -0

A can complete a work in ‘m’ days and B can complete it in ‘n’ days. How many days will it take to complete the work if both A and B work together ?

Solution:

A’s 1 day’s work =

1/m

B’s 1 day’s work =

1/n

∴ (A + B)’s 1 day’s work
=

1/m+1/n

{n+m}/{mn}

{m+n}/{mn}

∴ Required time =

({mn}/{m+n})

days

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